Finding the Third Proportional to 653,184 and 1,026,432

Step by Step Solution

1. Step 1: Write the proportion equation
   653,184 : 1,026,432 = 1,026,432 : x
2. Step 2: Convert to fraction form
   653,184/1,026,432 = 1,026,432/x
3. Step 3: Cross multiply
   653,184x = 1,026,432 × 1,026,432
4. Step 4: Simplify right side
   653,184x = 1,053,562,650,624
5. Step 5: Solve for x
   x = 1,053,562,650,624/653,184
6. Step 6: Final answer
   x = 1,612,964.57